6z+3-4z=6+z-8

Solution for 6z+3-4z=6+z-8 equation:

Simplifying
6z + 3 + -4z = 6 + z + -8

Reorder the terms:
3 + 6z + -4z = 6 + z + -8

Combine like terms: 6z + -4z = 2z
3 + 2z = 6 + z + -8

Reorder the terms:
3 + 2z = 6 + -8 + z

Combine like terms: 6 + -8 = -2
3 + 2z = -2 + z

Solving
3 + 2z = -2 + z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-1z' to each side of the equation.
3 + 2z + -1z = -2 + z + -1z

Combine like terms: 2z + -1z = 1z
3 + 1z = -2 + z + -1z

Combine like terms: z + -1z = 0
3 + 1z = -2 + 0
3 + 1z = -2

Add '-3' to each side of the equation.
3 + -3 + 1z = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 1z = -2 + -3
1z = -2 + -3

Combine like terms: -2 + -3 = -5
1z = -5

Divide each side by '1'.
z = -5

Simplifying
z = -5